You’ve probably heard this scenario before. It originally comes from Derek Parfit’s 1984 book Reasons and Persons, where he actually answers the question. (Though you may not like the answer.) To answer it, he has to go though a set of even weirder scenarios. Here’s most of them, edited aggressively.~ “Dynomight” from, https://dynomight.net/no-self/
This article turns a number of complicated thought experiments into a disorienting dash through a hall of mirrors. I’ve not read Parfit’s book, but I’ve encountered these sorts of thought experiments before. On one hand I’m drawn to thinking about them because I feel I should be able to have some foundational, (although not necessarily simple,) principles that I can use to answer them. Which is a working definition of, “I want to be rational.” Until I start really digging into the experiments and things get really complicated. Why, it’s as if being a limited-in-resources mind forced to interact with in an intractably complex world, may not be something with a clear, correct, let alone singular, solution.